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Simplifying 2 + -4x = 5 + -1(x + 7) Reorder the terms: 2 + -4x = 5 + -1(7 + x) 2 + -4x = 5 + (7 * -1 + x * -1) 2 + -4x = 5 + (-7 + -1x) Combine like terms: 5 + -7 = -2 2 + -4x = -2 + -1x Solving 2 + -4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -4x + x = -2 + -1x + x Combine like terms: -4x + x = -3x 2 + -3x = -2 + -1x + x Combine like terms: -1x + x = 0 2 + -3x = -2 + 0 2 + -3x = -2 Add '-2' to each side of the equation. 2 + -2 + -3x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -2 + -2 -3x = -2 + -2 Combine like terms: -2 + -2 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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